HALL-CURRENT EFFECTS ON UNSTEADY MHD FLOW BETWEEN STRETCHING SHEET AND AN OSCILLATING POROUS UPPER PARALLEL PLATE WITH CONSTANT SUCTION

Abstract

The unsteady MHD flow of an incompressible viscous electrically conducting fluid between two horizontal parallel non conducting plates, where the lower one is stretching sheet and the upper one is oscillating porous plate, is studied in the presence of a transverse magnetic field and the effects of Hall current. Fluid motion is caused by the stretching of the lower sheet and a constant suction is applied at the upper plate which is oscillating in its own plane. The stretching velocity of the sheet is assumed to be a linear function of distance along the channel. The expressions relating to the velocity distribution are obtained and effects of different values of various physical parameters are calculated numerically and shown graphically.

Dates

  • Submission Date2009-11-20
  • Revision Date2010-07-20
  • Acceptance Date2010-07-27

DOI Reference

10.2298/TSCI1102527C

References

  1. Anderson, H.I., Flow of power law fluid over a stretching sheet, Appl. Anal. Continuous Media, 1(1992), 336.
  2. Chiam, T.C., Micro polar fluid flow over a stretching sheet, ZAMM 62(1982), 565.
  3. Borkakoti, A.K and Bharali, A., Hydro magnetic flow and heat transfer between two horizontal, the lower plate being a stretching sheet, Quart. Appl. Math, 40(1982), 461.
  4. Rajagopal, K.R, Na, Y.T and Gupta, A.S., Flow of a viscoelastic fluid over stretching sheet, Rheol. Avta, 23(1984), 213.
  5. Agarwal, R.S, Bhargava, R and Balaji, A.V.S., Finite element solution of flow and heat transfer of a micro polar fluid over a stretching sheet, Int. J. Engg. Sci., 27(1989), 421.
  6. Anderson H.J., Acta Mechanica, 95(1992), p227-230.
  7. Anderson, H.I., MHD Flow of viscoelastic fluid past a stretching surface, Acta Mech., 95 (1992), 227.
  8. Ming-I Char., Heat and mass transfer in a hydromagnetic flow of the viscoelastic fluid over a stretching sheet, J. Math, Anal. Appl., 186(1994), 647.
  9. Chaun, D.S., Coupled Stretching Flow through a channel bounded by a naturally permeable bed, Modeling, Measu. And Control, ASME Press, 41(1993), 55.
  10. Takhar, H.S and Nath, G., Unsteady flow over a stretching surface with a magnetic field in a rotating fluid, ZAMP, 49(1998), 989.
  11. Kumari, M, Takhar, H.S, and Nath, G., Analytical solution of boundary layer equation over a stretching sheet with mass transfer, Proc. Acad.Sci. India, 69A III (1999), 355.
  12. Nabil, T.M, El. Dabe, Mahmoud El- Hassan and Oaf, M: Darcy lap wood Brickman field flow and heat transfer through porous medium over a stretching porous sheet, Bull. Cal. Math. Society, 92-2(2000), 133.
  13. Sharma P.R and Mishra, M., Steady MHD flow through a horizontal channel lower being a stretching sheet and upper being permeable plate bounded by porous medium, Bull. Pure. Appl. Sci. India, 20E (2001), 175.
  14. Phukan, D.K., Hydromagnetic flow and heat transfer over a surface stretching with a power law velocity distribution, Ganita, 54-2(2003), 177.
  15. Bhardwaj, S., Flow of a fluid due to plane stretching of a sheet in a porous medium, Raj. Acad. Phyl. Sci., 3(2004), 221.
  16. Lodtha .A and Tak, S.S., Heat transfer with viscos dissipation in hydromagnetic flow over a stretching sheet, Ganita Sandesh, 19(2005), P.209.
  17. Katugiri, M., JFKatM, 40, 2(1969), p225.
  18. Gupta A.S., Actamechanica, 22 (1975), p281
  19. Sakhnoskii, E.G., Soviet Physics-Tech Physics, Vol. (1963), 18, p469.
  20. Pardeep KUMAR and Mahinder SINGH., Instability of two rotating viscoelastic (Walters b') superposed fluids with suspended Particles in porous medium. Thermal science, Vol. 11 (2007),
  21. No. 1, pp. 93-102.
  22. Pardeep KUMAR, Gursharn Jit SINGH, and Roshan LAL., thermal instability of Walters b' viscoelastic fluid Permeated with suspended particles in Hydromagnetics in porous medium, Thermal science, Vol. 8 (2004), No. 1, pp. 51-61.
  23. Mostafa M. Salah El-Din., Laminar fully developed mixed convection with viscous dissipation in a uniformly Heated vertical double-passage channel, Thermal science, Vol. 11 (2007), No. 1, pp. 27-41.
  24. Ahmed Yousof BAKIER and Mohamed Ahmed MANSOUR., Combined of magnetic field and thermophoresis Particle deposition in free convection Boundary layer from a vertical flat plate Embedded in a porous medium, Thermal science, Vol. 11 (2007), No. 1, pp. 65-74
  25. Abdallah I.A.,Analytic solution of heat and mass transfer over a permeable stretching plate affected by chemical Reaction, internal heating, dufour-soret effect and hall effect, Thermal science: Vol. 13 (2009), No. 2, pp. 183-197
Volume 15, Issue 2, Pages527 -536